0.7x^2=7x^2-6.5

Solution for 0.7x^2=7x^2-6.5 equation:

Simplifying
0.7x2 = 7x2 + -6.5

Reorder the terms:
0.7x2 = -6.5 + 7x2

Solving
0.7x2 = -6.5 + 7x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x2' to each side of the equation.
0.7x2 + -7x2 = -6.5 + 7x2 + -7x2

Combine like terms: 0.7x2 + -7x2 = -6.3x2
-6.3x2 = -6.5 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-6.3x2 = -6.5 + 0
-6.3x2 = -6.5

Divide each side by '-6.3'.
x2 = 1.031746032

Simplifying
x2 = 1.031746032

Take the square root of each side:
x = {-1.015749, 1.015749}